Development of Fast and Robust Parallel CGCG Solver for Large Scale Finite Element Analyses.
نویسندگان
چکیده
منابع مشابه
H-Matrix-Based Fast Direct Finite Element Solver for Large-Scale Electromagnetic Analysis
In this work, we prove that the sparse matrix resulting from a finite-element-based analysis of electrodynamic problems can be represented by an -matrix without any approximation, and the inverse of this sparse matrix has a data-sparse matrix approximation with error well controlled. Based on this proof, we develop an -matrix-based direct finite-element solver of O(kNlogN) memory complexity ...
متن کاملA parallel sparse direct finite element solver for desktop computers
The parallel finite element solver, which is based on block L·S·L factoring, where S is a sign diagonal, is presented. The sparse symmetric positive definite and indefinite matrices are considered. Unlike the methods presented in the libraries of high-performance procedures, including PARDISO solver, the proposed approach uses the disk storage, if the dimension of the problem exceeds the capaci...
متن کاملParallel Domain Decomposition Solver for Adaptive Hp Finite Element Methods
In this paper, the development and implementation of highly parallelizable domain decomposition solvers for adaptive hp finite element methods is discussed. Two-level orthogonalization is used to obtain a reduced system which is preconditioned by a coarse grid operator. The condition number of the preconditioned system, for Poisson problems in two space dimensions, is proved to be bounded by C(...
متن کاملA Static Parallel Multifrontal Solver for Finite Element Meshes
Wepresent a static parallel implementation of themultifrontal method to solve unsymmetric sparse linear systems ondistributed-memory architectures. We target Finite Element (FE) applications where numerical pivoting can be avoided, since an implicit minimum-degree ordering based on the FEmesh topology suffices to achieve numerical stability. Our strategy is static in the sense that work distrib...
متن کاملA Parallel AMG Solver for An Electromagnetic Finite Element Analysis
The algebraic multigrid (AMG) method is not only efficient in solving for linear systems arising in finite element analyses, but also applicable at a matrix level without geometric information on the domain, different from the geometric multigrid solvers. The present paper proposes a combination of the parallel processing technique and the AMG method as a fast solver for electromagnetic field a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
سال: 2002
ISSN: 0387-5008,1884-8338
DOI: 10.1299/kikaia.68.1010